Bott periodicity and calculus of Euler classes on spheres

JOURNAL OF ALGEBRA

卷:321

Article

Mandal, Satya¹  Sheu, Albert J. L.¹ 

[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

关键词: Vector bundles;    Projective modules;    Chern classes;    Euler classes;   

DOI  :  10.1016/j.jalgebra.2008.09.013

来源: Elsevier

【 摘 要 】

A variety of computations regarding the Euler class group E(A(n), A(n)) and the Grothendieck group K(0)(A(n)) of the algebraic sphere Spec(A(n)) is done. The Elder class of the algebraic tangent bundle on Spec(A(n)) is computed. It is also investigated whether every element in the Euler class group E(A(n), A(n)) is the Euler class of a projective An module of rank n. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free